TSTP Solution File: SEU223+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU223+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 05:51:31 EST 2010
% Result : Theorem 22.04s
% Output : CNFRefutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 172 ( 47 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 234 ( 96 ~; 94 |; 34 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 3 sgn 44 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(48,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmp-9JwTL/sel_SEU223+2.p_1',dt_k7_relat_1) ).
fof(60,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('/tmp/tmp-9JwTL/sel_SEU223+2.p_1',fc4_funct_1) ).
fof(163,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
file('/tmp/tmp-9JwTL/sel_SEU223+2.p_1',t70_funct_1) ).
fof(181,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_dom_restriction(X3,X1)
<=> ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/tmp/tmp-9JwTL/sel_SEU223+2.p_1',t68_funct_1) ).
fof(239,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[163]) ).
fof(457,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(458,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[457]) ).
cnf(459,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[458]) ).
fof(496,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(497,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ( relation(relation_dom_restriction(X3,X4))
& function(relation_dom_restriction(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[496]) ).
fof(498,plain,
! [X3,X4] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) )
& ( function(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) ) ),
inference(distribute,[status(thm)],[497]) ).
cnf(499,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[498]) ).
fof(915,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& in(X2,relation_dom(relation_dom_restriction(X3,X1)))
& apply(relation_dom_restriction(X3,X1),X2) != apply(X3,X2) ),
inference(fof_nnf,[status(thm)],[239]) ).
fof(916,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& in(X5,relation_dom(relation_dom_restriction(X6,X4)))
& apply(relation_dom_restriction(X6,X4),X5) != apply(X6,X5) ),
inference(variable_rename,[status(thm)],[915]) ).
fof(917,negated_conjecture,
( relation(esk48_0)
& function(esk48_0)
& in(esk47_0,relation_dom(relation_dom_restriction(esk48_0,esk46_0)))
& apply(relation_dom_restriction(esk48_0,esk46_0),esk47_0) != apply(esk48_0,esk47_0) ),
inference(skolemize,[status(esa)],[916]) ).
cnf(918,negated_conjecture,
apply(relation_dom_restriction(esk48_0,esk46_0),esk47_0) != apply(esk48_0,esk47_0),
inference(split_conjunct,[status(thm)],[917]) ).
cnf(919,negated_conjecture,
in(esk47_0,relation_dom(relation_dom_restriction(esk48_0,esk46_0))),
inference(split_conjunct,[status(thm)],[917]) ).
cnf(920,negated_conjecture,
function(esk48_0),
inference(split_conjunct,[status(thm)],[917]) ).
cnf(921,negated_conjecture,
relation(esk48_0),
inference(split_conjunct,[status(thm)],[917]) ).
fof(1004,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( X2 != relation_dom_restriction(X3,X1)
| ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X2))
| apply(X2,X4) = apply(X3,X4) ) ) )
& ( relation_dom(X2) != set_intersection2(relation_dom(X3),X1)
| ? [X4] :
( in(X4,relation_dom(X2))
& apply(X2,X4) != apply(X3,X4) )
| X2 = relation_dom_restriction(X3,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[181]) ).
fof(1005,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ? [X9] :
( in(X9,relation_dom(X6))
& apply(X6,X9) != apply(X7,X9) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[1004]) ).
fof(1006,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk59_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk59_3(X5,X6,X7)) != apply(X7,esk59_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(skolemize,[status(esa)],[1005]) ).
fof(1007,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) )
& relation_dom(X6) = set_intersection2(relation_dom(X7),X5) )
| X6 != relation_dom_restriction(X7,X5) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk59_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk59_3(X5,X6,X7)) != apply(X7,esk59_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) )
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(shift_quantors,[status(thm)],[1006]) ).
fof(1008,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk59_3(X5,X6,X7),relation_dom(X6))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk59_3(X5,X6,X7)) != apply(X7,esk59_3(X5,X6,X7))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[1007]) ).
cnf(1012,plain,
( apply(X1,X4) = apply(X2,X4)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_dom_restriction(X2,X3)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[1008]) ).
cnf(3539,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ function(relation_dom_restriction(X1,X2))
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(X1,X2)) ),
inference(er,[status(thm)],[1012,theory(equality)]) ).
cnf(289625,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1) ),
inference(csr,[status(thm)],[3539,459]) ).
cnf(289626,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1) ),
inference(csr,[status(thm)],[289625,499]) ).
cnf(289627,plain,
( ~ function(esk48_0)
| ~ in(esk47_0,relation_dom(relation_dom_restriction(esk48_0,esk46_0)))
| ~ relation(esk48_0) ),
inference(spm,[status(thm)],[918,289626,theory(equality)]) ).
cnf(289696,plain,
( $false
| ~ in(esk47_0,relation_dom(relation_dom_restriction(esk48_0,esk46_0)))
| ~ relation(esk48_0) ),
inference(rw,[status(thm)],[289627,920,theory(equality)]) ).
cnf(289697,plain,
( $false
| $false
| ~ relation(esk48_0) ),
inference(rw,[status(thm)],[289696,919,theory(equality)]) ).
cnf(289698,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[289697,921,theory(equality)]) ).
cnf(289699,plain,
$false,
inference(cn,[status(thm)],[289698,theory(equality)]) ).
cnf(289700,plain,
$false,
289699,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU223+2.p
% --creating new selector for []
% -running prover on /tmp/tmp-9JwTL/sel_SEU223+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU223+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU223+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU223+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------